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Finding the Fourth Proportional to 384,144.92, 530,106.09 and 212,059.19

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Solution

The fourth proportional to 384,144.92, 530,106.09 and 212,059.19 is: 292,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,144.92 : 530,106.09 = 212,059.19 : x
  2. Step 2: Convert to fraction form
    384,144.92/530,106.09 = 212,059.19/x
  3. Step 3: Cross multiply
    384,144.92x = 530,106.09 × 212,059.19
  4. Step 4: Simplify right side
    384,144.92x = 112,413,865,408.94
  5. Step 5: Solve for x
    x = 112,413,865,408.94/384,144.92
  6. Step 6: Final answer
    x = 292,634.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.